Answer:
because is the probability is 0.17 and 0.34 is fair
You can use the multiplication rule of probability.
The probability of event B happening if event A has already happened is 0.5
What does general multiplication rule of probability says for 2 events A and B?[tex]P( A \: \rm and \: B) = P(A)P(B|A) = P(B)P(A|B)[/tex]
Since we've to find the probability of B given that A has already happened, we need [tex]P(B|A)[/tex]
Since the probability of both event A and event B happening simultaneously is 0.17, thus:
[tex]P(A \: \rm and \: B) = 0.17\\
[/tex]
Since the probability of only event A happening is 0.34, thus:
[tex]P(A) = 0.34[/tex]
Thus, from the multiplication rule, we have:
[tex]P(A \: \rm and \: B) = P(A)P(B|A)\\
0.17 = 0.34 \times P(B|A)\\\\
\dfrac{0.17}{0.34} = P(B|A)\\\\
P(B|A) = \dfrac{1}{2} = 0.5[/tex]
Thus, we have the probability of event B happening when A has already happened as 0.5
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In the 2017 national Youth Risk Behavior Survey, 16.5% of high school students had ridden with a driver who had been drinking alcohol within the previous month. This data came from an SRS of 14,500 students. what is the mean and standard deviation
Answer:
[tex]Mean = 2392.5[/tex]
[tex]SD = 44.70[/tex]
Step-by-step explanation:
Given
[tex]Students = 14500[/tex]
[tex]p = 16.5\%[/tex]
Solving (a): The mean
Mean is calculated as thus:
[tex]Mean = np[/tex]
[tex]Mean = 16.5\% * 14500[/tex]
Convert % to decimal
[tex]Mean = 0.165 * 14500[/tex]
[tex]Mean = 2392.5[/tex]
Solving (b): The Standard Deviation
Standard deviation (SD) is calculated as thus:
[tex]SD = \sqrt{np(1-p)}[/tex]
[tex]SD = \sqrt{14500 * 16.5\%(1-16.5\%)}[/tex]
Convert % to decimal
[tex]SD = \sqrt{14500 * 0.165 * (1-0.165)}[/tex]
[tex]SD = \sqrt{14500 * 0.165 * 0.835}[/tex]
[tex]SD = \sqrt{1997.7375}[/tex]
[tex]SD = 44.6960568731[/tex]
[tex]SD = 44.70[/tex]
A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?
Lila has $35.55. She buys a magazine for $3.15, a cookie for $2.20, and a shirt for $14.99. She also gets $5 from a friend. How much money does she have after the above transactions?
A)$10.21
B)$14.61
C)$16.51
D)$20.21
Answer:
$20.21
Step-by-step explanation:
$35.55 - $3.15 = $32.40
$32.40 - $2.20 = $30.20
30.20 - $14.99 = $15.21
$15.21 + $5.00 = $20.21
The answer is D
$35.55 - $3.15 = $32.4 $32.4 - $30.2 $30.2 - $14.99 = $15.21 $15.21 + $5 = $20.21
I don’t understand plz help me
Answer:
C×6=D
Step-by-step explanation:
You don't know her me calculators they have or they bought so you take C for the calculators multiply by 6 and D is the product or answer.
Please help I have been stuck for 2 HOURS!
TY
Help I Dont Understand?
At what point do the graphs of x = 5 and y = -3 intersect
Please help me I am confused
which number are composite numbers-49,35,32,41,47
Answer:
49, 35, 32
Step-by-step explanation:
A prime number is a number whose factors are 1 and itself
Eg 7
7 is a prime number because it only comes in table one and 7
Or it’s only factors are 1 and itself
A composite number comes in 1, itself and other tables
Eg. 16
It comes in table 1, 2, 4 and 16
Answer: 49,32,35.
Hope this helps!
HELP!!! Parallel Line Proofs
Write the next three terms in each sequence. Make sure your
answers are separated by a comma and a space; like 1, 2, 3
25, 26, 27, 28, ...
Answer:
29,30,31
this is basically like counting just add 1
Look at image please help me ASAP
Answer:
[tex]\frac{-3 y^{11} }{x}[/tex]
Please please please help quickly!
Um th eanswer is 56-64-34-3402-30 = 19038
if Ad = 2x + 2 and cd= x +11, what is the value of x
Answer: the answer is 9
Step-by-step explanation:
Pls help me, im not understand this
Answer:
Step-by-step explanation:
1/x+x/2=11/6 transformable to quadratic equations
Note: Consider we need to find the solution of given equation.
Given:
The equation is
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
To find:
The solution of the equation.
Solution:
We have,
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]
By cross multiplication, we get
[tex]6(2+x^2)=11(2x)[/tex]
[tex]12+6x^2=22x[/tex]
[tex]6x^2-22x+12=0[/tex]
[tex]2(3x^2-11x+6)=0[/tex]
Divide both sides by 2.
[tex]3x^2-11x+6=0[/tex]
Splitting the middle term, we get
[tex]3x^2-9x-2x+6=0[/tex]
[tex]3x(x-3)-2(x-3)=0[/tex]
[tex](x-3)(3x-2)=0[/tex]
Using zero product property, we get
[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]
[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]
Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].
Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).
Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
We are given the algebraic equation: 1/x+x/2=11/6
Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.
LCD(x,2,6) = 6x
Multiply all through the fractions by 6x
(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)
6 + 3x² = 11x
Rewriting the equation:
3x² - 11x + 6 = 0
Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
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2 1/7 divided by 1 2/5
What is the slope of this line?
5
1/5
-1/5
-5
Answer:
1/5
Step-by-step explanation:
You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.
And it is positive because it is pointed to the right side.
Hope this helps
Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?
Answer:
30
Step-by-step explanation:
tell me if im wrong
sorry if i am TmT
the wheels on a bicycle have a circumference of 4 feet. if the bicycle travels 48 feet how many rotations does it make?
Answer:
12
Step-by-step explanation:
48 divided by 4 is 12
Determine the slope and the y-intercept of the table.
Answer:
Slope: 1.5
Y-Intercept: -1
Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have
Answer:
20 pieces of rope
Step-by-step explanation:
Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.
5 x 4 = 20 pieces of rope.
I hope that this helps! :)
Translate the following equation into a verbal sentence: x + 3 = 2(6 + x)
Answer:
"x" plus three equals to two times six plus "x"
Convert 12 ounces to pounds use the conversion rate 16 ounces = 1 pound
Answer:
3/4 pound
Step-by-step explanation:
12/ 16
÷4 on top and bottom
Answer:
0.75lbs
Step-by-step explanation:
Which of the following is a solution for 5 - 2xs-3?
-4
4
1
-1
which function has the range (-infinity,-2]U[0,infinity)?
a. y=cos(x+1)
b. y=csc(x)-1
c. y=sec(x)+1
d. y=cot(2x)-1
Answer:
y= csc(x)+1
Step-by-step explanation:
A P E X
cosec(X) + 1 has the range (-infinity,-2]U[0,infinity)
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1
Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).
So,
Range of Cosec (x) +1 will be ,
= (-∞,-1+1] ∪ [1+1,∞).
= (-∞, 0] ∪ [2,∞)
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Describe how the graph of y=2xy=2x is the SAME as the graph of y=2x-7y=2x−7.
Select all statements that are true.
They both have a slope of 2.
They cross the x-axis at the same point.
They are parallel to each other.
They have the same slope.
They are in the same location.
They cross the y-axis at the same point.
Answer:
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Step-by-step explanation:
The 2 equations are;
y = 2x and y = 2x - 7
Now, from slope intercept equation,
y = mx + c
Where m is slope and c is the intercept on the y-axis
From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.
For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.
They should cross the x-axis when y = 0.
But at x = 0,we have;
y = 2x = 0. And x = 0
Also,for y = 2x - 7 is y = 2x - 7 = 0
2x = 7 and x = 7/2.
Thus,they don't cross the x - axis at the same point
Looking at the options, we can see that there are 3 correct ones from what we've described above namely;
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Answer:
its
Step-by-step explanation:
Jenna has a piece of paper that is 99 3/4 square inch in Area.
It is 10 1/2 inches long.
What is the width of the piece of paper in inches?
Answer:
Width is 9 1/2 in.
Step-by-step explanation:
My reasoning is that, since youve gotten the area (99 3/4), your asked to find the width. You have the length which is 10 1/2. In this situation youre expected to divide. What you divide is 99 3/4 by 10 1/2. If you calculate this, you get a quotient of 9 1/2. I’m not very ethical at explanations, but I hope you found it helpful somehow.
Three cards—one red, one green, and one blue—are to be arranged in a stack. Using R for red, G for green, and B for blue, make a list of all the different stacks that can be formed. (Some computer monitors are called RGB monitors for the colors red, green, and blue. Enter your answers as a comma-separated list.)
Answer:
RGB. RBG, BRG, BGR, GBR, GRB
Step-by-step explanation:
Given
R, G and B
Required
List all possible arrangement
First, we need to calculate the number of arrangement
There are 3 letters and they are to be arranged in order of 3.
So, we have:
[tex]n = 3[/tex] and [tex]r =3[/tex]
Number of arrangement is:
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
[tex]^3P_3 = \frac{3!}{(3 - 3)!}[/tex]
[tex]^3P_3 = \frac{3!}{0!}[/tex]
[tex]^3P_3 = \frac{3*2*1}{1}[/tex]
[tex]^3P_3 = \frac{6}{1}[/tex]
[tex]^3P_3 = 6[/tex]
Hence, number of arrangements is 6 and the arrangements are:
RGB. RBG, BRG, BGR, GBR, GRB
HELP!!!!i will give BRAINLIEST
Answer:
2.9
Step-by-step explanation:
2 9/10 as an improper fraction is 29/10
29/10 as a decimal is 2.9
Answer:
2.9
Step-by-step explanation:
Math. Pls give brainliest:)!